Posted by **Anonymous** on Wednesday, November 14, 2012 at 10:45pm.

the sum of two numbers is 42. their product is 185. what are the two numbers?

- math -
**Alexa**, Wednesday, November 14, 2012 at 10:53pm
37 and 5

- math -
**Reiny**, Wednesday, November 14, 2012 at 11:05pm
x+y = 42 ---> y = 42-x

xy = 185

x(42-x) = 185

42x - x^2 - 185 = 0

x^2 - 42x + 185 = 0

x^2 - 42x **+441** = -185**+441**

(x-21)^2 = 256

x-21 = ± √256

x = 21 ±16 = 37 or 5

if one number is 37 , the other is 5

or one is 5 , the other is 37

check:

sum = 37+5 = 42

product = 37x5 = 185

- math -
**noah**, Thursday, November 19, 2015 at 6:13pm
9b+21

## Answer this Question

## Related Questions

- home school - the sum of two numbers is 42. their product is 185. what are the ...
- math-word problems with quadratics - I have 5 questions... 1) The sum of two ...
- Math - When factoring a trinomial that is in the format Ax^2 + Bx + C, the ...
- math - the sum of two numbers is 42 their prodcut is 185 what are the two ...
- high school (math) - Match the mathematical expression with its translation. 1. ...
- math - if the sum of two numbers are 35 and the product of that two numbers are ...
- Math, grade 10 - Two whole numbers add to 17 and the sum of their squares is 185...
- Math -- 6th Grade - The sum of two decimal numbers is 5.3. Their difference is 1...
- PreCalc - Find the maximum product of two numbers whose sum euqals 124. Let's ...
- calculus - The sum of two positive numbers is 100. Let one of the numbers be x ...

More Related Questions